Hamiltonian function

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The total energy function. (pg. 65-66)

In a closed physical system the energy of the system is constant as the system moves through time.

Example: Ball being thrown into air: Total energy = p^2/2m +mgr (kinetic + potential)

We call the total energy function the Hamiltonian Function, and denote it H.

The paragraph: "But energy is more than just a conserved quantity: it determines .." (pg.65) (1st page of Chpt 4) is a dramatic pargraph and I like it. We should start out with something of this nature as an opening paragraph. -aaron

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